What is the Least Common Multiple of 56966 and 56981?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 56966 and 56981 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56966 and 56981, than apply into the LCM equation.

GCF(56966,56981) = 1
LCM(56966,56981) = ( 56966 × 56981) / 1
LCM(56966,56981) = 3245979646 / 1
LCM(56966,56981) = 3245979646

Least Common Multiple (LCM) of 56966 and 56981 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56966 and 56981. First we will calculate the prime factors of 56966 and 56981.

Prime Factorization of 56966

Prime Factorization of 56981

Now multiplying the highest exponent prime factors to calculate the LCM of 56966 and 56981.

LCM(56966,56981) = 2¹ × 7¹ × 13¹ × 313¹ × 19¹ × 2999¹
LCM(56966,56981) = 3245979646